Function or Non-Function?

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What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

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What is a non-function?

Back

A non-function is a relation where at least one input (x-value) has more than one output (y-value).

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How can you determine if a relation is a function?

Back

You can use the vertical line test: if a vertical line intersects the graph of the relation at more than one point, it is not a function.

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What is an example of a function?

Back

An example of a function is the relation y = 2x + 3, where each x-value corresponds to one y-value.

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What is an example of a non-function?

Back

An example of a non-function is the relation y^2 = x, where a single x-value can correspond to two y-values.

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What does the term 'input' refer to in a function?

Back

The input is the value you provide to a function, usually represented as x.

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What does the term 'output' refer to in a function?

Back

The output is the value that results from applying the function to the input, usually represented as y.

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Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

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What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with its output.

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What is a relation in mathematics?

Back

A relation is a set of ordered pairs, which can represent a function or a non-function.